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3 years ago

Triangle ABC is translated to create triangle DFG as shown in image

Mathematics

1 answer:

aliya0001 [1]3 years ago

5 0

Answer:

x=3 and y=3

Step-by-step explanation:

explanation for x

using distributive property, 3(2x+10) should be 6x + 30 because you need to multiply both inside numbers by the outside number.

Next, you need to isolate the variable so the 12 is suptracted from thirty which leaves you 6x+18 and 12x. Since six is half of twelve, six is half of the other side, and then there is 18 which is the other six, so that means 6x=18, so simplifies, x=3 because 6×3=18

explanation for y

2(2y-3) using the distributive property, should be 4y-6. Take the 12 from 2y+12 and subtract six from it and you get 2y+6 and 4y. So, since 2y plus 6 equals 4y, 2y is half of 4y and then there is a plus six, which equals the other half, so 2y=6, and simplified, y=3

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Marc can run 2 miles in 16 minutes. At this rate, how long will it take Marc to run 5 miles?

skad [1K]

8= 1 minute so you do 8x5 because he runs 5 miles and your answer will be C=40 minutes. Hope this help :)

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4 years ago

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Use the identity (x+y)(x−y)=x2−y2 to find the difference of two numbers if the sum of the numbers is 12 and the difference of th

Natalka [10]

Answer:

The difference of two numbers using identity $(x+y)(x-y)=x^2-y^2$ is 4.

Step-by-step explanation:

Given: The sum of the numbers is 12 and the difference of the squares of the numbers is 48.

To find the difference of two numbers using identity $(x+y)(x-y)=x^2-y^2$

Let the two numbers be a and b, then

Given that the sum of the numbers is 12

that is a + b = 12 .........(1)

Also, given the difference of the squares of the numbers is 48.

that is $a^2-b^2=48$ ..........(2)

Using given identity $(x+y)(x-y)=x^2-y^2$

We have $(a+b)(a-b)=a^2-b^2$

Substitute the known values, we have,

$12(a-b)=48$

Divide both side 12 , we have,

$(a-b)=4$

Thus, the difference of two numbers using identity $(x+y)(x-y)=x^2-y^2$ is 4.

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3 years ago

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Genevieve wants to verify that negative x is the simplified expression of one-fifth (5 x minus 20) minus one-half (4 x minus 8).

mart [117]

Answer: -x

Apply Multiplicative Distribution Law:- 1/5 * 5x - 1/5 * 20 - 1/2 * 4x - 1/2 *(-8)

Determine the sign for multiplication or division: 1/5 * 5x - 1/5 * 20 - 1/2 * 4x + 1/2 * 8

Cross out the common factor: x - 1/5 * 20 - 1/2 * 4x + 1/2 * 8

Cross out the common factor: x - 4 - 1/2 * 4x + 1/2 * 8 - 4 - 2x + 1/2 * 8

Cross out the common factor: x - 4 - 2x + 1/2 * 8

Cross out the common factor: x - 4 - 2x + 4

Reorder and gather like terms: (x - 2x) + (- 4 + 4)

Collect coefficients for the like terms: (1 - 2) * x + (- 4 + 4)

Calculate the sum or difference : - x + (- 4 + 4)

The sum of two opposites equals 0: -x

Answer: -x

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2 years ago

What does -16t^2 mean in h(t)=5+100t-16t^2

marissa [1.9K]

-16t^2 represent the position on the graph on the negative side.

According to the statement

we have given equation is h(t)=5+100t-16t^2 -(1)

And we have to find representation of -16t^2

we know that the equation number (1) represent the Quadratic Equation

And in this we have to solve the Quadratic Equation and find the representation of the given terms. then

h(t)=5+100t-16t^2

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In this equation 16t^2 represent the equation on the graph.

It means that it shows the position on the graph.

Overall, -16t^2 represent the position on the graph on the negative side.

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2 years ago

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RSB [31]

Answer:

this

answer

will

your

book

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3 years ago